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3382533 = 337111627
BaseRepresentation
bin1100111001110100000101
320100211222000
430321310011
51331220113
6200255513
740515420
oct14716405
96324860
103382533
111a00390
121171599
139157cb
146409b7
1546c373
hex339d05

3382533 has 32 divisors (see below), whose sum is σ = 6251520. Its totient is φ = 1756080.

The previous prime is 3382517. The next prime is 3382537. The reversal of 3382533 is 3352833.

It is a happy number.

3382533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3382533 - 24 = 3382517 is a prime.

It is a super-2 number, since 2×33825332 = 22883058992178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 33 + 311 + 82 + 210 + 56 + 313 + 313 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3382497 and 3382506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (195360).

Almost surely, 23382533 is an apocalyptic number.

3382533 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3382533 is a deficient number, since it is larger than the sum of its proper divisors (2868987).

3382533 is a wasteful number, since it uses less digits than its factorization.

3382533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3382533 is about 1839.1663872527. The cubic root of 3382533 is about 150.1115170724. Note that the first 3 decimals are identical.

The spelling of 3382533 in words is "three million, three hundred eighty-two thousand, five hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1627 2079 4881 11389 14643 17897 34167 43929 53691 102501 125279 161073 307503 375837 483219 1127511 3382533